Answer:
Explanation:
An "incenter" is pretty special. This means that all the lines that are coming from the corners of the triangle are cutting those triangle angles in half. So angle ARU is the same as angle ARK. And it lets us set those algebraic expressions equal to each other to solve for x. See image. An "incenter" is also special because it's the center of a circle that can be drawn inside of the triangle. That makes those perpendiculars AT, AU, AK all the same bc they are the radii (plural of radius) of the circle (the one that's not drawn on your pic, but could be drawn INside the triangle)